The generator matrix

 1  0  0  1  1  1  1  X  1 2X  1  1  1  1  1  1  1  X  0  1  1 2X  1 2X  1  1
 0  1  0  0  0 2X+1  1  1 2X+1  1  2 2X+2 X+2 2X+1 X+2  1  X  1 2X 2X 2X+2  1  0  1 2X+1 2X+2
 0  0  1  1  2 2X+2  1 X+2 2X 2X+1  X 2X+1 X+2 2X  1 X+1 2X  2  1 X+2  X 2X+1 X+1  X  2  2
 0  0  0 2X  0  0  0  0  X  X  X  0  X  X  0  X 2X 2X 2X  0 2X  0 2X  X  X  X
 0  0  0  0  X  X  X  0  0 2X  X  0  X 2X 2X 2X  X  0  X 2X 2X  X 2X  X  X 2X

generates a code of length 26 over Z3[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+690x^45+1248x^48+1482x^51+1832x^54+966x^57+300x^60+42x^63

The gray image is a linear code over GF(3) with n=78, k=8 and d=45.
This code was found by Heurico 1.16 in 29.2 seconds.